logo_acta

Acta Mathematica Vietnamica

Chain Polytopes and Algebras with Straightening Laws

icon-email Takayuki Hibi , Nan Li

Abstract

It will be shown that the toric ring of the chain polytope of a finite partially ordered set is an algebra with straightening laws on a finite distributive lattice. Thus, in particular, every chain polytope possesses a regular unimodular triangulation arising from a flag complex.